| Exam Board | AQA |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2009 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Forces, equilibrium and resultants |
| Type | Resultant of coplanar forces |
| Difficulty | Easy -1.3 This is a straightforward two-part question requiring only basic application of Newton's laws: (a) subtract forces to find resultant (3000-600=2400N), and (b) apply F=ma to find acceleration. Both parts are direct recall with single-step calculations and no problem-solving insight required. |
| Spec | 3.03c Newton's second law: F=ma one dimension3.03p Resultant forces: using vectors |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Mark | Guidance |
| Resultant \(= 3000 - 600\) | M1 | Subtracting forces in correct direction |
| \(= 2400\) N | A1 | cao |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Mark | Guidance |
| \(F = ma\): \(2400 = 1200a\) | M1 | Applying Newton's second law with their resultant force |
| \(a = 2\) m s\(^{-2}\) | A1 | cao |
# Question 3:
## Part (a)
| Answer | Mark | Guidance |
|--------|------|----------|
| Resultant $= 3000 - 600$ | M1 | Subtracting forces in correct direction |
| $= 2400$ N | A1 | cao |
## Part (b)
| Answer | Mark | Guidance |
|--------|------|----------|
| $F = ma$: $2400 = 1200a$ | M1 | Applying Newton's second law with their resultant force |
| $a = 2$ m s$^{-2}$ | A1 | cao |3 A car is travelling in a straight line on a horizontal road. A driving force, of magnitude 3000 N , acts in the direction of motion and a resistance force, of magnitude 600 N , opposes the motion of the car. Assume that no other horizontal forces act on the car.
\begin{enumerate}[label=(\alph*)]
\item Find the magnitude of the resultant force on the car.
\item The mass of the car is 1200 kg . Find the acceleration of the car.
\includegraphics[max width=\textwidth, alt={}, center]{c022c936-72bc-4cf9-8f98-285f12c1d479-07_38_118_440_159}\\
\includegraphics[max width=\textwidth, alt={}, center]{c022c936-72bc-4cf9-8f98-285f12c1d479-07_40_118_529_159}
\end{enumerate}
\hfill \mbox{\textit{AQA M1 2009 Q3 [4]}}